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Simplifying 4(y + -7) + -2 = -7(-3y + 6) + -1y Reorder the terms: 4(-7 + y) + -2 = -7(-3y + 6) + -1y (-7 * 4 + y * 4) + -2 = -7(-3y + 6) + -1y (-28 + 4y) + -2 = -7(-3y + 6) + -1y Reorder the terms: -28 + -2 + 4y = -7(-3y + 6) + -1y Combine like terms: -28 + -2 = -30 -30 + 4y = -7(-3y + 6) + -1y Reorder the terms: -30 + 4y = -7(6 + -3y) + -1y -30 + 4y = (6 * -7 + -3y * -7) + -1y -30 + 4y = (-42 + 21y) + -1y Combine like terms: 21y + -1y = 20y -30 + 4y = -42 + 20y Solving -30 + 4y = -42 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -30 + 4y + -20y = -42 + 20y + -20y Combine like terms: 4y + -20y = -16y -30 + -16y = -42 + 20y + -20y Combine like terms: 20y + -20y = 0 -30 + -16y = -42 + 0 -30 + -16y = -42 Add '30' to each side of the equation. -30 + 30 + -16y = -42 + 30 Combine like terms: -30 + 30 = 0 0 + -16y = -42 + 30 -16y = -42 + 30 Combine like terms: -42 + 30 = -12 -16y = -12 Divide each side by '-16'. y = 0.75 Simplifying y = 0.75
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